On diversity and stability of unit bases for the Euclidean metric

Author:

Kuzminykh Alexandr

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology

Reference16 articles.

1. Beckman F.S., Quarles D.A. Jr: On isometries of Euclidean spaces. Proc. Am. Math. Soc. 4, 810–815 (1953)

2. Benz W.: An elementary proof of the theorem of Beckman and Quarles. Elem. Math. 42, 4–9 (1987)

3. Benz W.: Classical Geometries in Modern Contexts: Geometry of Real Inner Product Spaces. Birkhäuser Verlag, Basel (2005)

4. Greenwell D., Johnson P.D. Jr: Functions that preserve unit distance. Math. Mag. 49, 74–79 (1976)

5. Greenwell D., Johnson P.D. Jr: Functions which preserve unit distance. Geombinatorics 2, 61–64 (1993)

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